WGS 84 Explained: The Datum Every GPS Uses
WGS 84 explained — the GPS-broadcast datum on a 6,378,137 m semi-major-axis ellipsoid, the seven realizations from 1984 to G2139, and the relationship to ITRF.
By Steve K.. Published . Last updated .
WGS 84 is a geodetic datum defined by an ellipsoid (semi-major axis 6,378,137 m, flattening 1/298.257223563), an origin at Earth's centre of mass, an axes orientation tied to the IERS Reference Pole, and the EGM2008 gravity model. It is the reference frame broadcast by every GPS satellite.
Every GPS satellite broadcasts its ephemeris in WGS 84. Every GeoJSON file is in WGS 84. Every modern web map expects WGS-84 input. The reference frame anchoring all of this is the subject of this article: what WGS 84 actually defines, the four defining parameters and the derived quantities, the seven realizations since the original 1984 frame, the relationship with ITRF and NAD83, and the heights question that the gravity-field model EGM2008 settles. The companion pillar /learn/what-is-a-geodetic-datum covers the datum concept more broadly; /learn/coordinate-systems-overview covers the CRS hierarchy.
What WGS 84 defines
Per ISO 19111:2019, a datum combines a reference ellipsoid, an origin, an orientation, and an associated gravity-field model. WGS 84 specifies all four explicitly.
| Component | WGS-84 value | Purpose |
|---|---|---|
| Reference ellipsoid | a = 6,378,137 m; 1/f = 298.257223563 | Shape of Earth |
| Origin | Earth's centre of mass (incl. oceans and atmosphere) | 3D position of the ellipsoid in space |
| Orientation | Z-axis to IERS Reference Pole; X-axis to IERS Reference Meridian | How axes align with rotating Earth |
| Gravity-field model | EGM2008 (spherical harmonics to degree/order 2190) | Ellipsoid ↔ orthometric height conversion |
The four-part definition is what makes WGS 84 a datum rather than an ellipsoid. The ellipsoid alone is a mathematical shape; the datum fixes the shape against the rotating Earth and provides the gravity model needed to relate ellipsoidal heights (above the smooth ellipsoid) to orthometric heights (above the geoid, the gravity-equipotential surface that approximates mean sea level).
The four defining parameters
| Parameter | Symbol | Value | Notes |
|---|---|---|---|
| Semi-major axis | a | 6,378,137 m | Exact — defining |
| Reciprocal flattening | 1/f | 298.257223563 | Defining |
| Geocentric gravitational constant | GM | 3.986004418 × 1014 m3/s2 | Includes oceans + atmosphere |
| Angular velocity | ω | 7.292115 × 10−5 rad/s | Earth's rotation rate |
Everything else — the semi-minor axis, the eccentricities, the normal-gravity formula coefficients, the mean radii — is derived from these four numbers. The full derived set lives on the /reference/wgs84-parameters reference page.
| Derived quantity | Symbol | Value | Computed from |
|---|---|---|---|
| Semi-minor axis | b | 6,356,752.3142 m | b = a(1 − f) |
| First eccentricity squared | e2 | 0.0066943799901 | 2f − f2 |
| Equatorial circumference | Ce | 40,075.017 km | 2πa |
| Polar (meridional) circumference | Cp | 40,007.863 km | Ellipsoid integral |
| Mean radius R1 | (a + a + b)/3 | 6,371,008.7714 m | Arithmetic mean of the three semi-axes |
| Normal gravity at equator | γe | 9.7803253359 m/s2 | Somigliana formula |
The polar radius is 21.385 km less than the equatorial radius — a direct consequence of the centrifugal flattening of a rotating self-gravitating fluid (Newton predicted this in Principia, 1687). The 21.385 km gap is also the reason 1° of latitude is not constant: the local radius of curvature is largest at the poles, where the surface is flattest in cross-section.
Realizations and epochs
WGS-84's definition has been stable since 1984. Its realization — the actual coordinates of a worldwide network of reference stations against which everything else is measured — has been re-derived seven times to maintain alignment with the IERS International Terrestrial Reference Frame (ITRF).
| Realization | GPS week / year | Aligned with | Approximate alignment offset |
|---|---|---|---|
| WGS-84 (original) | — / 1984 | Pre-ITRF satellite solution | ~1-2 m vs later ITRFs |
| WGS-84 G730 | 730 / 1994 | ITRF92 | ~10 cm |
| WGS-84 G873 | 873 / 1996-97 | ITRF94 | ~5 cm |
| WGS-84 G1150 | 1150 / 2002 | ITRF2000 | ~1 cm |
| WGS-84 G1674 | 1674 / 2012 | ITRF2008 | ~1 cm |
| WGS-84 G1762 | 1762 / 2013 | ITRF2008 (epoch 2005.0) | ~1 cm |
| WGS-84 G2139 | 2139 / 2021-01-03 | ITRF2014 / IGS14 | ~1 cm |
The G-week labels are GPS week numbers at the introduction of each realization (a useful timestamping convention because GPS time is the operational clock of every modern receiver). Each new realization is tied to a specific epoch because the underlying ITRF is itself epoch-tagged: continental plates drift 2-9 cm per year, and an accurate reference frame must record when a measurement was made.
For sub-metre work that cares which realization a coordinate is in, the modern practice is to record it explicitly — "WGS-84 (G2139) epoch 2021.0" rather than just "WGS-84." Consumer GPS work routinely conflates the realizations without measurable consequence because the differences (~1 cm) are smaller than civilian-GPS positioning error (~4.9 m, per GPS.gov SPS PS 2020). Surveying, geodesy, infrastructure monumentation, and tectonic-velocity work cannot.
WGS-84 vs ITRF
ITRF is the civilian/scientific reference frame, maintained by the IERS through continuous observation of the global GNSS, Very Long Baseline Interferometry (VLBI), satellite laser ranging (SLR), and DORIS networks. WGS-84 is the US Department of Defense's reference frame, maintained by NGA.
| Aspect | WGS-84 | ITRF |
|---|---|---|
| Maintainer | NGA (DoD) | IERS (international civilian) |
| Broadcast on | Every GPS satellite | Not broadcast; published as solutions |
| Observed by | Operational Control Segment (12 monitor stations) | ~500 globally-distributed stations |
| Modern realizations align at | ~1 cm | (defines the reference) |
| Use case | Operational GPS, web maps, GIS | Geodetic monumentation, plate-tectonics modelling |
The practical relationship: ITRF is the "ground truth" that WGS-84 is calibrated against. NGA observes WGS-84 stations, the IERS publishes the contemporary ITRF, and NGA re-realises WGS-84 to match the ITRF on a roughly decadal cadence. The next realization will likely align WGS-84 with ITRF2020 (released 2022).
WGS-84 vs NAD83
NAD83 is the official datum of US federal mapping. NAD83 is fixed to the North American tectonic plate, while WGS-84 is fixed to the global Earth-centre-of-mass frame. The North American plate drifts roughly 2-3 cm per year relative to the global frame, so the two datums have been diverging since they were aligned in 1986.
| Comparison | NAD83(2011) | WGS-84 (G2139) |
|---|---|---|
| Fixed to | North American plate | Global Earth-centred frame |
| Epoch | 2010.00 | varies; G2139 = 2005.0 |
| Difference in CONUS | (baseline) | ~1-2 m east of NAD83 position |
| Difference at the plate boundary (Alaska, California) | (baseline) | Larger; ~3-4 m possible |
| Use | US federal data, USGS, USDA | GPS, GeoJSON, web maps, global data |
The cumulative offset has now reached roughly 1-2 m in CONUS. NAD83 is the official datum of US federal mapping and survey work; WGS-84 is the GPS datum. Coordinates collected in WGS-84 must be transformed to NAD83 (or specifically NAD83(2011)) when integrating with US federal datasets — the authoritative tool is NGS NCAT. The forthcoming NATRF2022 modernization (NSRS 2022 successor frame) will align NAD83's replacement more tightly with WGS-84 and ITRF.
EPSG codes built on WGS-84
WGS-84 is a datum; many distinct CRSs share it. Recognising which EPSG code a coordinate is in matters because the coordinate system behind the datum determines units, axis order and dimensionality.
| EPSG | CRS name | Coordinate system | Dimension |
|---|---|---|---|
| 4326 | WGS-84 / geographic 2D | (latitude, longitude) in degrees | 2D |
| 4979 | WGS-84 / geographic 3D | (latitude, longitude, ellipsoidal height) | 3D |
| 4978 | WGS-84 / ECEF | (X, Y, Z) Cartesian in metres | 3D |
| 3857 | Web Mercator (WGS-84 sphere) | (easting, northing) on a sphere | 2D |
| 32601-32660 | WGS-84 / UTM 1N-60N | (easting, northing) per zone | 2D |
| 32701-32760 | WGS-84 / UTM 1S-60S | (easting, northing) per zone | 2D |
EPSG:4326 is the workhorse, but EPSG:4979 (3D geographic) and EPSG:4978 (geocentric Cartesian) come up in geodetic computation because they are mathematically cleaner than 2D geographic.
Heights in WGS-84: ellipsoidal vs orthometric
WGS-84 reports two kinds of height, and the difference matters for elevation tools, aviation, and any work that touches mean sea level.
| Height type | Reference surface | Where it comes from | Used by |
|---|---|---|---|
| Ellipsoidal (h) | The WGS-84 ellipsoid (smooth mathematical surface) | Raw GPS receiver output | Geodesy, raw positioning |
| Orthometric (H) | The geoid (gravity-equipotential surface; ~mean sea level) | h − N, with N from a geoid model | Maps, aviation, "altitude" |
| Geoid undulation (N) | Local height of geoid above ellipsoid | EGM2008 model | Conversion glue |
EGM2008 publishes the geoid undulation N globally with sub-decimetre accuracy at the spherical-harmonic resolution of degree/order 2190. Geoid undulation ranges from about −106 m near the south of India to +85 m near Iceland and New Guinea — a 190-metre swing globally. A raw GPS height of "100 m" near Iceland actually corresponds to about 15 m above mean sea level; the same raw height in India corresponds to about 206 m above sea level.
Common misconceptions
Related
- Coordinate Systems Overview— The pillar — the four families of coordinate system
- Geographic Coordinate Systems— How WGS 84 combines with the angular CS to form EPSG:4326
- What Is Latitude and Longitude?— The foundation pillar — angular coordinates on an ellipsoid
- The UTM Coordinate System— WGS 84 is the default datum for UTM zones
- Methodology— How content is sourced and verified
Frequently asked questions
What is WGS 84?
WGS 84 is the World Geodetic System established by the US Department of Defense in 1984 and maintained by the National Geospatial-Intelligence Agency (NGA). It is a geodetic datum: an ellipsoid (a = 6,378,137 m; flattening f = 1/298.257223563), an origin (the centre of mass of the Earth including its oceans and atmosphere), an orientation (axes aligned to the IERS Reference Pole and Reference Meridian), and an associated gravity-field model (EGM2008 in the current realization). Every GPS satellite broadcasts its position in WGS 84.
Is WGS 84 a coordinate system?
No — WGS 84 is a datum. "WGS 84 coordinates" is shorthand for "geographic coordinates referenced to the WGS 84 datum," formally identified by EPSG:4326. ISO 19111 keeps datum and coordinate system as separate concepts. The same WGS 84 datum supports several coordinate systems: 2D geographic (EPSG:4326), 3D geographic with ellipsoidal height (EPSG:4979), geocentric Cartesian XYZ (EPSG:4978), and the 60+60 UTM projected zones (EPSG:32601–32660 and 32701–32760).
What are the realizations of WGS 84?
The original 1984 realization was an averaged satellite-tracking solution accurate to roughly 1–2 m. NGA has periodically re-realised the frame to align with the IERS International Terrestrial Reference Frame (ITRF): G730 (1994, aligned to ITRF92), G873 (1996, ITRF94), G1150 (2002, ITRF2000), G1674 (2012, ITRF2008), G1762 (2013, ITRF2008 epoch 2005.0), and G2139 (2021, ITRF2014). Each realization differs from its predecessor by a few centimetres at most. Sub-metre work that cares about the specific realization should record it explicitly; consumer-GPS work routinely conflates them without measurable consequence.
What is the difference between WGS 84 and ITRF?
ITRF (the International Terrestrial Reference Frame, maintained by the IERS) is the civilian / scientific reference frame; WGS 84 is the DoD's reference frame. Modern realizations of WGS 84 (G1150 onward) are aligned with the contemporary ITRF realization to within a few centimetres. For practical purposes — including most engineering, surveying, and web-mapping applications — they are interchangeable. For sub-centimetre work, the specific realization and epoch matter and the alignment offset has to be carried explicitly.
What is the difference between WGS 84 and NAD 83?
NAD 83 (North American Datum 1983) is a fixed reference frame attached to the North American tectonic plate; WGS 84 is a globally averaged frame attached to the centre of the Earth. Within the continental United States, the two differ by roughly 1–2 metres at the present epoch, with the difference growing over time as North America drifts relative to the Earth-centred frame. The NGS NCAT tool is the authoritative source for the specific transformation values. Datasets that mix WGS 84 and NAD 83 coordinates without transforming between them accumulate metre-scale alignment errors.
What ellipsoid does WGS 84 use?
WGS 84 uses its own defining ellipsoid with semi-major axis a = 6,378,137 m (exact) and reciprocal flattening 1/f = 298.257223563. The derived semi-minor axis is b ≈ 6,356,752.314 m. The WGS-84 ellipsoid is virtually identical to GRS80 (used by NAD 83, ETRS89, GDA2020) — the two differ only in the 8th decimal place of 1/f, producing coordinate differences below 0.1 mm anywhere on Earth.
How accurate is WGS 84?
Modern WGS 84 realizations (G1762, G2139) are aligned with the contemporary ITRF realization at the centimetre level. The defining parameters are exact (by definition). The geographic positions of WGS-84 reference stations are known to sub-centimetre precision at their reference epoch. For consumer GPS, the receiver positioning error (~5 m, 95%) dominates any datum-realization uncertainty by three orders of magnitude.
What is the geoid in WGS 84?
WGS 84 includes an associated gravity-field model — currently EGM2008 (Earth Gravitational Model 2008) — that defines the geoid: a gravity-equipotential surface approximating mean sea level. The geoid undulates ±100 m relative to the WGS-84 ellipsoid globally, with maximum positive undulation near New Guinea and maximum negative south of India. Converting GPS ellipsoidal heights to orthometric ("above sea level") heights requires applying the EGM2008 undulation at the point.
Sources
- NGA STND 0036 — WGS 84 v1.0.0 (2014) — defining parameters a, 1/f, GM, ω + EGM2008 gravity model · https://earth-info.nga.mil/index.php?dir=wgs84 · Accessed .
- NGA — WGS-84 realization history (G730 → G2139, 1994-2021) · https://earth-info.nga.mil/ · Accessed .
- IERS — International Terrestrial Reference Frame (ITRF) — ITRF2014, ITRF2020 · https://itrf.ign.fr/ · Accessed .
- NOAA NGS — NAD83 datum and WGS-84 relationship — 1-2 m CONUS offset · https://geodesy.noaa.gov/datums/horizontal/north-american-datum-1983.shtml · Accessed .
- NOAA NGS — NCAT — National Coordinate Conversion and Transformation Tool · https://www.ngs.noaa.gov/NCAT/ · Accessed .
- IOGP / EPSG — EPSG codes on WGS-84 datum (4326, 4979, 4978, 3857, 32601-32660) · https://epsg.org/ · Accessed .
- GPS.gov — SPS Performance Standard 5th ed. (April 2020) — 4.9 m / 9.0 m accuracy figures · https://www.gps.gov/systems/gps/performance/accuracy/ · Accessed .
- IETF — RFC 7946 — GeoJSON CRS fixed to WGS-84 · https://datatracker.ietf.org/doc/html/rfc7946 · Accessed .
Cite this article
APA format:
Steve K. (2026). WGS 84 Explained: The Datum Every GPS Uses. Coordinately. https://coordinately.org/learn/wgs84-explained
BibTeX:
@misc{coordinately_wgs84explained_2026,
author = {K., Steve},
title = {WGS 84 Explained: The Datum Every GPS Uses},
year = {2026},
publisher = {Coordinately},
url = {https://coordinately.org/learn/wgs84-explained},
note = {Accessed: 2026-06-05}
}